update

Author: mhjensen

doc/src/week7/Latexfiles/measurenotes.pdf

@@ -178,7 +178,7 @@
 
 \textbf{Preskill (NISQ paradigm):}
 \[
-\text{prepare an } n\text{-qubit state and measure all qubits}  [oai_citation:0‡arXiv](https://arxiv.org/pdf/1801.00862?utm_source=chatgpt.com)
+\text{prepare an } n\text{-qubit state and measure all qubits}, see \url{https://arxiv.org/pdf/1801.00862}
 \]
 \end{frame}
 
@@ -228,62 +228,6 @@
 \end{proof}
 \end{frame}
 
-%------------------------------------------------
-
-\begin{frame}{Summary}
-\begin{itemize}
-\item Quantum information is inherently \textbf{non-local}
-\item Single-qubit measurement loses correlations
-\item Mapping observables increases circuit depth
-\item Modern hardware supports parallel measurement
-\item NISQ algorithms rely on full bitstring sampling
-\end{itemize}
-
-\medskip
-
-\begin{block}{Key insight}
-Quantum computing is fundamentally about sampling high-dimensional distributions, not extracting single bits.
-\end{block}
-\end{frame}
-
-%------------------------------------------------
-
-\end{document}
-
-
-% !TEX program = pdflatex
-\documentclass[aspectratio=169]{beamer}
-
-\usetheme{Madrid}
-\usecolortheme{default}
-
-\usepackage{amsmath,amssymb,mathtools}
-\usepackage{physics}
-\usepackage{listings}
-\usepackage{xcolor}
-
-\lstset{
-language=Python,
-basicstyle=\ttfamily\small,
-keywordstyle=\color{blue},
-commentstyle=\color{gray},
-stringstyle=\color{red},
-showstringspaces=false,
-breaklines=true
-}
-
-\title{Measurement Strategies in VQE}
-\subtitle{Failure of Single-Qubit Measurement and Numerical Evidence}
-\author{}
-\date{}
-
-\begin{document}
-
-\begin{frame}
-\titlepage
-\end{frame}
-
-%------------------------------------------------
 
 \begin{frame}{Key question}
 \begin{block}{Problem}
@@ -564,11 +508,32 @@
 \end{block}
 \end{frame}
 
+
+
+%------------------------------------------------
+
+\begin{frame}{Summary}
+\begin{itemize}
+\item Quantum information is inherently \textbf{non-local}
+\item Single-qubit measurement loses correlations
+\item Mapping observables increases circuit depth
+\item Modern hardware supports parallel measurement
+\item NISQ algorithms rely on full bitstring sampling
+\end{itemize}
+
+\medskip
+
+\begin{block}{Key insight}
+Quantum computing is fundamentally about sampling high-dimensional distributions, not extracting single bits.
+\end{block}
+\end{frame}
+
 %------------------------------------------------
 
 \end{document}
 
 
+
 %------------------------------------------------
 
 \begin{frame}{Full VQE optimization experiment}